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A Bessel collocation method for numerical solution of generalized pantograph equations
Author(s) -
Yüzbaşi Şuayip,
Şahin Niyazi,
Sezer Mehmet
Publication year - 2012
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20660
Subject(s) - pantograph , mathematics , bessel function , orthogonal collocation , generalization , collocation (remote sensing) , collocation method , partial differential equation , mathematical analysis , differential equation , ordinary differential equation , computer science , mechanical engineering , machine learning , engineering
This article is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, we introduce a collocation method based on the Bessel polynomials for the approximate solution of the pantograph equations. The method is illustrated by studying the initial value problems. The results obtained are compared by the known results. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011